130414087314 has 128 divisors (see below), whose sum is σ = 338603328000. Its totient is φ = 37191329280.

The previous prime is 130414087259. The next prime is 130414087343. The reversal of 130414087314 is 413780414031.

130414087314 is a `hidden beast` number, since 130 + 41 + 408 + 73 + 14 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10310434 + ... + 10323074.

It is an arithmetic number, because the mean of its divisors is an integer number (2645338500).

Almost surely, 2^130414087314 is an apocalyptic number.

130414087314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130414087314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169301664000).

130414087314 is an abundant number, since it is smaller than the sum of its proper divisors (208189240686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130414087314 is a wasteful number, since it uses less digits than its factorization.

130414087314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13230 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 130414087314 in words is "one hundred thirty billion, four hundred fourteen million, eighty-seven thousand, three hundred fourteen".